Search a number
-
+
3358750428 = 2233112318291
BaseRepresentation
bin1100100000110010…
…0111011011011100
322200002002012102000
43020030213123130
523334320003203
61313141402300
7146142623205
oct31014473334
98602065360
103358750428
111473a21a00
12798a09390
13416b125b7
1423c1105ac
15149d0a4a3
hexc83276dc

3358750428 has 144 divisors (see below), whose sum is σ = 9881410560. Its totient is φ = 984852000.

The previous prime is 3358750427. The next prime is 3358750433. The reversal of 3358750428 is 8240578533.

3358750428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33587504282 = 22562408875180366368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3358750427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400963 + ... + 409253.

Almost surely, 23358750428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3358750428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940705280).

3358750428 is an abundant number, since it is smaller than the sum of its proper divisors (6522660132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3358750428 is a wasteful number, since it uses less digits than its factorization.

3358750428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8357 (or 8338 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 3358750428 is about 57954.7273999283. The cubic root of 3358750428 is about 1497.5887820957.

The spelling of 3358750428 in words is "three billion, three hundred fifty-eight million, seven hundred fifty thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 121 124 132 186 198 242 279 297 341 363 372 396 484 558 594 682 726 837 1023 1089 1116 1188 1364 1452 1674 2046 2178 3069 3267 3348 3751 4092 4356 6138 6534 7502 8291 9207 11253 12276 13068 15004 16582 18414 22506 24873 33164 33759 36828 45012 49746 67518 74619 91201 99492 101277 135036 149238 182402 202554 223857 257021 273603 298476 364804 405108 447714 514042 547206 771063 820809 895428 1003211 1028084 1094412 1542126 1641618 2006422 2313189 2462427 2827231 3009633 3084252 3283236 4012844 4626378 4924854 5654462 6019266 6939567 8481693 9028899 9252756 9849708 11308924 12038532 13879134 16963386 18057798 25445079 27086697 27758268 31099541 33926772 36115596 50890158 54173394 62199082 76335237 93298623 101780316 108346788 124398164 152670474 186597246 279895869 305340948 373194492 559791738 839687607 1119583476 1679375214 3358750428